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Questions and Answers
What is displacement in the context of SHM?
What is displacement in the context of SHM?
- The number of oscillations per unit time
- The maximum distance of an oscillating body from its equilibrium position
- The linear distance of the oscillating body from its equilibrium position in a specified direction (correct)
- The time taken to complete one oscillation
What is amplitude in the context of SHM?
What is amplitude in the context of SHM?
- The maximum displacement of an oscillating body from its equilibrium position (correct)
- The number of oscillations per unit time
- The linear distance of the oscillating body from its equilibrium position in a specified direction
- The time taken to complete one oscillation
What is the relationship between angular frequency and natural frequency?
What is the relationship between angular frequency and natural frequency?
- Angular frequency ω = 2f, where f is the natural frequency
- Angular frequency ω = f, where f is the natural frequency
- Angular frequency ω = 2πf, where f is the natural frequency (correct)
- Angular frequency ω = πf, where f is the natural frequency
What is critical damping?
What is critical damping?
What is resonance?
What is resonance?
What are damped oscillations?
What are damped oscillations?
What is forced oscillation?
What is forced oscillation?
What is damping?
What is damping?
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Study Notes
Displacement in SHM
- Displacement in SHM refers to the distance of an oscillating object from its equilibrium point.
- It varies sinusoidally with time.
Amplitude in SHM
- Amplitude is the maximum displacement of an object from its equilibrium position during oscillatory motion.
- It is a measure of the oscillation's intensity.
Relationship Between Angular Frequency and Natural Frequency
- Natural frequency (f) represents the frequency at which an object oscillates without any external forces.
- Angular frequency (ω) is related to natural frequency by the equation: ω = 2πf.
- Essentially, they describe the same thing, but angular frequency is expressed in radians per second.
Critical Damping
- Critical damping is the damping level that rapidly returns an oscillating system to its equilibrium position without oscillation.
- This is the optimal damping for systems where oscillations are undesirable.
Resonance
- Resonance occurs in a system when the driving frequency matches the natural frequency of the system.
- This leads to a large amplitude of oscillations, potentially causing damage or instability.
Damped Oscillations
- Damped oscillations occur when energy is gradually lost from an oscillating system, reducing the amplitude of oscillation.
- This loss of energy can be due to various factors like friction.
Forced Oscillation
- Forced oscillation involves applying a periodic external force to an oscillating system.
- The system is forced to oscillate at the driving frequency of the external force.
Damping
- Damping is the process of energy dissipation from an oscillating system, causing its amplitude to decay over time.
- The damping effect can be caused by friction, air resistance, or other dissipative forces.
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